If A : B= \frac{1}{2} : \frac{1}{3}, B : C=1/5:1/3 then (A + B) : (B + C) is equal to

SSC CGL Tier II 12 Apr 2015 Paper

Question : 69 of 100

Marks: +1, -0

A : B= {1}/{2} : {1}/{3}, B : C=1/5:1/3

then (A + B) : (B + C) is equal to

Solution:

(3)

A : B= {1}/{2} : {1}/{3}=3:2

B : C=1/5:1/3=3:5

A/B=3/2

⇒{A+B}/{B}= {3+2}/{2}= {5}/{2}

{B}/{C}=3 : 5 ⇒{C}/{B}= {5}/{3}

⇒{C+B}/{B}=\ {5}/{3}+1= {8}/{3}

∴{A+B}/{C+B}= {5}/{2} ÷ {{8}/{3}}

∴{5}/{2}×{3}/{8}=\ {15}/{16}

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